数学竞赛中,常有带省略号“……”的求和问题.这类问题项数多,数据大,计算时需要一定的技巧.本文介绍如何巧用题中的“0”来解答这类试题. 一、活用已知条件中“0”例1 已知x3+x2+x+1=0,那么1+x+x2+x3+…+x1995= .(第八届“祖冲之杯”初中数学邀请赛试题) In mathematics competitions, there is often a summation problem with the ellipsis “...”. This type of problem has many items, large data, and requires some skill in calculations. This article describes how to use “0” in questions to answer such questions. First, use “0” in the known conditions. Example 1 Known that x3 + x2 + x + 1 = 0, then 1 + x + x2 + x3 + ... + x 1995 =. (The eighth “Zu Chong Cup” junior high school mathematics invitational exam questions )